Uniqueness and long time asymptotics for the parabolic–parabolic Keller–Segel equation

Communications in Partial Differential Equations ◽

10.1080/03605302.2017.1280682 ◽

2017 ◽

Vol 42 (2) ◽

pp. 291-345 ◽

Author(s):

K. Carrapatoso ◽

S. Mischler

Keyword(s):

Time Asymptotics ◽

Long Time ◽

Long Time Asymptotics

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Long-time asymptotics for an integrable evolution equation with a 3×3 Lax pair

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2021.132987 ◽

2021 ◽

pp. 132987

Author(s):

C. Charlier ◽

J. Lenells

Keyword(s):

Evolution Equation ◽

Lax Pair ◽

Time Asymptotics ◽

Integrable Evolution Equation ◽

Long Time ◽

Integrable Evolution ◽

Long Time Asymptotics

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Long-Time Asymptotics for the Integrable Nonlocal Focusing Nonlinear Schrödinger Equation for a Family of Step-Like Initial Data

Communications in Mathematical Physics ◽

10.1007/s00220-021-03941-2 ◽

2021 ◽

Vol 382 (1) ◽

pp. 87-121

Author(s):

Yan Rybalko ◽

Dmitry Shepelsky

Keyword(s):

Initial Data ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Time Asymptotics ◽

Long Time ◽

Long Time Asymptotics

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Long-time asymptotics for evolutionary crystal dislocation models

Advances in Mathematics ◽

10.1016/j.aim.2020.107242 ◽

2020 ◽

Vol 371 ◽

pp. 107242 ◽

Author(s):

Matteo Cozzi ◽

Juan Dávila ◽

Manuel del Pino

Keyword(s):

Time Asymptotics ◽

Dislocation Models ◽

Long Time ◽

Long Time Asymptotics

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Long-Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions in the Presence of a Discrete Spectrum

Communications in Mathematical Physics ◽

10.1007/s00220-021-03968-5 ◽

2021 ◽

Vol 382 (3) ◽

pp. 1495-1577

Author(s):

Gino Biondini ◽

Sitai Li ◽

Dionyssios Mantzavinos

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Discrete Spectrum ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time Asymptotics ◽

Long Time ◽

Nonzero Boundary ◽

Long Time Asymptotics

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Long-time asymptotics of the focusing Kundu–Eckhaus equation with nonzero boundary conditions

Journal of Differential Equations ◽

10.1016/j.jde.2018.10.053 ◽

2019 ◽

Vol 266 (9) ◽

pp. 5209-5253 ◽

Author(s):

Deng-Shan Wang ◽

Boling Guo ◽

Xiaoli Wang

Keyword(s):

Boundary Conditions ◽

Time Asymptotics ◽

Long Time ◽

Nonzero Boundary ◽

Long Time Asymptotics

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Long-time asymptotics for two-dimensional exterior flows with small circulation at infinity

Analysis & PDE ◽

10.2140/apde.2013.6.973 ◽

2013 ◽

Vol 6 (4) ◽

pp. 973-991 ◽

Author(s):

Thierry Gallay ◽

Yasunori Maekawa

Keyword(s):

Two Dimensional ◽

Time Asymptotics ◽

Long Time ◽

Long Time Asymptotics

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Sharp Long-Time Asymptotics for Chemotaxis with Free Boundary

SIAM Journal on Mathematical Analysis ◽

10.1137/19m124678x ◽

2021 ◽

Vol 53 (2) ◽

pp. 2027-2083

Author(s):

Hai-Liang Li ◽

Benoít Perthame ◽

Xinmei Wen

Keyword(s):

Free Boundary ◽

Time Asymptotics ◽

Long Time ◽

Long Time Asymptotics

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Long-time asymptotics for the focusing Fokas-Lenells equation in the solitonic region of space-time

Journal of Differential Equations ◽

10.1016/j.jde.2021.11.045 ◽

2022 ◽

Vol 309 ◽

pp. 883-948

Author(s):

Qiaoyuan Cheng ◽

Engui Fan

Keyword(s):

Time Asymptotics ◽

Long Time ◽

Long Time Asymptotics

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Long-time asymptotics for the nonlinear heat equation with a fractional Laplacian in a ball

Studia Mathematica ◽

10.4064/sm-142-1-71-99 ◽

2000 ◽

Vol 142 (1) ◽

pp. 71-99 ◽

Author(s):

Vladimir Varlamov

Keyword(s):

Heat Equation ◽

Fractional Laplacian ◽

Nonlinear Heat Equation ◽

Time Asymptotics ◽

Long Time ◽

Long Time Asymptotics

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Long-time asymptotics for a mixed nonlinear Schrödinger equation with the Schwartz initial data

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124188 ◽

2020 ◽

Vol 489 (2) ◽

pp. 124188

Author(s):

Qiaoyuan Cheng ◽

Engui Fan

Keyword(s):

Initial Data ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Time Asymptotics ◽

Long Time ◽

Long Time Asymptotics

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